Examination 4

                  Tribhuvan University Institute of Engineering Entrance Examination Board 

                                        BE/B.Arch. Online Entrance Examination

                      IOE FREE EXAM   [30 questions]  

                                          Time: 45min 

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1. Sulphuric acid reacts with PCl₅ to give:
   
   1.   Sulphur ultrachloride
   2.   Thionyl chloride
   3.   Sulphur monochloride
   4.   Sulphuryl chloride
2. Laughing gas is prepared by heating
   1.   (NH₄)₂SO4
   2.   NH₄Cl+NaNO₂
   3.   NH₄Cl
   4.   NH₄NO₃
3. The minimum number of linearly independent vectors to give zero resultant is:
   
   1.   can't be determined
   2.   4
   3.   2
   4.   3
4. The I.U.P.A.C. names of Neopentane
   1.   2,2-dimethyl propane
   2.   2,2-dimethyl Butane
   3.   2-methyl Butane
   4.   2-methyl propane
5. If HM between two numbers is 2 and the GM is 4, then the AM between them is:
   
   1.   9/5
   2.   2
   3.   4
   4.   8
6. Find the derivative of e^xsinx
   
   
   1.   e^xsinx *(x cosx−sinx)
   2.   e^xsinx *(−xcosx+sinx)
   3.   e^xsinx *xcosx
   4.   e^xsinx *(xcosx+sinx)
7. Vertex of the parabola 9x²−6x+36y+9=0 is
   1.   (−1/3,1/2)
   2.   (−1/3,−1/2)
   3.   (1/3,−2/9)
   4.   (1/3,1/2)
8. In which of the following instruments is final image erect?
   1.   Simple microscope
   2.   Compound microscope
   3.   None
   4.   Astronomical telescope
9. The largest number of molecules present in :
   
   1.   54 g of nitrogen pentoxide
   2.   46 g of ethyl alcohol
   3.   28 g of carbon monoxide
   4.   36 g of water
10. If x=3+i then x³−3x²−8x+15=
    
    1.   6
    2.   -15
    3.   10
    4.   -18
11. The potential energy of a body is given by U=A−Bx² (where x is the displacement). The magnitude of force acting on the particle is
    
    1.   Proportional to x
    2.   Proportional to x2
    3.   Constant
    4.   Inversely proportional to x
12. What would be the solubility of silver chloride in 0.10M NaCI solution?
    Ksp for silver chloride=1.20×10−¹⁰
    1.   1.2×10−⁹M
    2.   6×10−¹⁰M
    3.   0.2×10−¹⁰M
    4.   0.2×10−⁶M
13. Of the following sulphides which one is insoluble in dilute acids but soluble in alkalies
    1.   FeS
    2.   CdS
    3.   PbS
    4.   Sb₂S₃
14. 10g of ice at 0∘C is mixed with 100g of water at 50∘C . What is the resultant temperature of mixture ?
    1.   32.8∘C
    2.   31.2∘C
    3.   36.7∘C
    4.   38.2∘C
15. The O.N. of 'Fe' in Na₂[Fe(CN)₅NO] is
    
    1.   +1
    2.   +3
    3.   +2
    4.   0
16. The angle between a line with direction ratios 2,2,1 and a line joining (3,1,4) to (7,2,12) is:
    1.   cos−¹(2/3)
    2.   tan−¹(2/3)
    3.   none of these
    4.   cos−¹⁡(−2/3)
17. If an object is placed 10 cm infront of a concave mirror of focal length 20 cm, the image will be
    1.   Diminished, inverted, real
    2.   Enlarged, upright, virtual
    3.   Enlarged, upright, real
    4.   Diminished, upright, virtual
18. ㏒ₐx is defined for (a>0)
    All real x
    All negative real x≠1
    All positive real x≠0
    a≥e
    loga X is defined for (a>0)
    
    
    1.   All negative real x≠1
    2.   a≥e
    3.   All real x
    4.   All positive real x≠0
19. Find the electric charge in couloumb of 9.0gm of Al³+ ions.
    
    1.   3216.33 C
    2.   96500 C
    3.   32166.3 C
    4.   9650 C
20. The large aperture of telescope are used for
    1.   Reducing lens aberration
    2.   Greater magnification
    3.   Greater resolution
    4.   Case of manufacture
21. A ball is allowed to fall from a height of 10 m. If there is 40% loss of energy due to impact, then after one impact ball will go upto:
    
    1.   8 m
    2.   4 m
    3.   6 m
    4.   10 m
22. Triple point of water is
    1.   273.16K
    2.   273.16∘C
    3.   273.16∘F
    4.   273.16R
23. An unknown frequency source X, produces 8 beats with another source of frequency 270 Hz. The frequency of source X will be ?
    1.   242 Hz
    2.   282 Hz
    3.   258 Hz
    4.   262 Hz
24. In the cell Zn|Zn²+||Cu²+|Cu, the positive electrode is
    1.   Zn
    2.   Zn²+
    3.   Cu²+
    4.   Cu
25. A particle on the trough of a wave at any instant will come to the mean position after a time.(T= time period)
    1.   2T
    2.   T/4
    3.   T/2
    4.   T
26. The sum of an infinite number of terms of a G.P. is 20, and the sum of their squares is 100, then the first term of the G.P. is
    1.   8
    2.   5
    3.   3/5
    4.   8/5
27. Number of non-empty subsets of set A={1,2,3,4}
    
    1.   15
    2.   16
    3.   18
    4.   17
28. A point (x, y, z) moves parallel to xz-plane. Which of the three variable x, y, z remain fixed
    1.   z and x
    2.   x and y
    3.   y and z
    4.   y
29. An X-Ray tube operates at a potential of 100 kV and 10 mA tube current. If only 1% of the electrical power is converted into X-Rays, the rate at which the target is heated is:
    1.   99W
    2.   100W
    3.   990W
    4.   1000W
30. The indicator used in the titration of a strong acid and a strong base is/are :
    1.   red litmus
    2.   alizarin yellow
    3.   Starch paper
    4.   phenolphthalein